76 ladies complete a job in 33 days. Due to some reason, some ladies did not join the work and therefore it was completed in 44 days. The number of ladies who did not report for the work is-

Question: 76 ladies complete a job in 33 days. Due to some reason, some ladies did not join the work and therefore it was completed in 44 days. The number of ladies who did not report for the work is-

Solution:
Let L be the rate of work per lady.

the total work = 76L × 33

Let, with x ladies absent, the total work is = (76 - x)L × 44

76L × 33 = (76 - x)L × 44
⇒ 76 × 33 = 76 × 44 - 44L
⇒ 44L = 76 × 44 - 76 × 33 = 76 × 11
⇒ L = 19